Question

Find the range f(x)=x^3-3 with domain[-1,2]

Answer #1

f(x)=

use the method of graph to find the range of given function

when f(x) is replaced with {f(x)-t} than the graph shifts down by t units

to draw the graph of {x^3-3}

first draw the graph of x^3 then shifts it down by 3 units

the range of the function will be [f(-1),f(2)]

f(-1)=(-4) f(2)=5

therefore range of the function will be [(-4),5]

note:the above function is monotonically increasing therefore we can directly find the range of the function by putting the interval of domain

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domain and the range of the function of both f and f^-1??

For f(x,y)=ln(x^2−y+3). -> Find the domain
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-> Sketch the domain, then
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-> Find the linearization of
f(x,y) at the point
(x,y)=(4,18).
-> Use this linearization to determine the
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1a.
Find the domain and range of the function. (Enter your answer
using interval notation.)
f(x) = −|x + 8|
domain=
range=
1b.
Consider the following function. Find the composite
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f ∘ g
and
g ∘ f.
Find the domain of each composite function. (Enter your domains
using interval notation.)
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g(x) = x2
(f ∘ g)(x)=
domain =
(g ∘ f)(x) =
domain
are the two functions equal?
y
n
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3. (f∘g)(x)
4. domain (f∘g)

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Domain:
________________________________
Graph:
Range: ________________________________
x-int: ______________ y-int: ______________
Maxima: _______________________________
Minima:
________________________________
Increasing: _____________________________
Decreasing: _____________________________
Constant: ______________________________
End Behavior: ___________________________
Discontinuities: __________________________
Asymptote: _____________________________
Symmetry: _____________________________
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Domain:
________________________________
Graph:
Range: ________________________________
x-int: ______________ y-int: ______________
Maxima: _______________________________
Minima:
________________________________
Increasing: _____________________________
Decreasing: _____________________________
Constant: ______________________________
End Behavior: ___________________________
Discontinuities: __________________________
Asymptote: _____________________________
Symmetry: _____________________________
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Domain:
________________________________
Graph:...

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